Coefficient bounds for regular and bi-univalent functions linked with Gegenbauer polynomials

Swamy S. R., Yalçın Tokgöz S.

Problemy Analiza, cilt.11, sa.29-1, ss.133-144, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 29-1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.15393/j3.art.2022.10351
  • Dergi Adı: Problemy Analiza
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.133-144
  • Anahtar Kelimeler: Fekete-Szego functional, regular function, bi-univalent function, Gegenbauer polynomials
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The main goal of the paper is to initiate and explore two sets of regular and bi-univalent (or bi-Schlicht) functions in D = {z is an element of C : vertical bar z vertical bar < 1} linked with Gegenbauer polynomials. We investigate certain coefficient bounds for functions in these families. Continuing the study on the initial coefficients of these families, we obtain the functional of Fekete-Szego for each of the two families. Furthermore, we present few interesting observations of the results investigated.